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Finding the Fourth Proportional to 56,531.48, 78,009.54 and 31,379

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Solution

The fourth proportional to 56,531.48, 78,009.54 and 31,379 is: 43,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,531.48 : 78,009.54 = 31,379 : x
  2. Step 2: Convert to fraction form
    56,531.48/78,009.54 = 31,379/x
  3. Step 3: Cross multiply
    56,531.48x = 78,009.54 × 31,379
  4. Step 4: Simplify right side
    56,531.48x = 2,447,861,355.66
  5. Step 5: Solve for x
    x = 2,447,861,355.66/56,531.48
  6. Step 6: Final answer
    x = 43,300.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.